394 Pages
50 B/W Illustrations
by
Chapman & Hall
392 Pages
by
Chapman & Hall
Also available as eBook on:
Sharkovsky's Theorem, Li and Yorke's "period three implies chaos" result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations. To date, however, we still know surprisingly little about higher-order nonlinear difference equations. During the last ten years, the authors of this book have been... Read more
PRELIMINARIES
EQUATIONS WITH PERIODIC SOLUTIONS
EQUATIONS WITH EVENTUALLY PERIODIC SOLUTIONS
CONVERGENCE TO PERIODIC SOLUTIONS
THE EQUATION x(n+1) = a + gx(n¡-(2k+1) )+ d(xn-2l )/ A + x(n-2l)
MAX EQUATIONS WITH PERIODIC SOLUTIONS
MAX EQUATIONS WITH PERIODIC COEFFICIENTS
EQUATIONS IN THE SPIRIT OF THE (3x+1) CONJECTURE
Bibliography
References
Index
EQUATIONS WITH PERIODIC SOLUTIONS
EQUATIONS WITH EVENTUALLY PERIODIC SOLUTIONS
CONVERGENCE TO PERIODIC SOLUTIONS
THE EQUATION x(n+1) = a + gx(n¡-(2k+1) )+ d(xn-2l )/ A + x(n-2l)
MAX EQUATIONS WITH PERIODIC SOLUTIONS
MAX EQUATIONS WITH PERIODIC COEFFICIENTS
EQUATIONS IN THE SPIRIT OF THE (3x+1) CONJECTURE
Bibliography
References
Index
Biography
E.A. Grove, G. Ladas
"The advantage of the book is not only the presentation of new results, but also the formulation of many open problems and conjectures which shall stimulate further investigations of researchers and graduate students."
- Lothar Berg, Zentralblatt MATH, 2006
